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Ring of arithmetic functions. (Slovenian. English summary) Zbl 1119.11301

Summary: Arithmetic functions play an important role in the study of divisibility properties of positive integers and the distribution of primes. In this article we prove some theorems which are related to the Dirichlet convolution. In the last section we consider additive mappings on the Dirichlet ring. At the end a few (probably still open) questions are given.

MSC:

11A25 Arithmetic functions; related numbers; inversion formulas
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